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Finding the Fourth Proportional to 10,498.47, 14,487.92 and 5,718.45

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Solution

The fourth proportional to 10,498.47, 14,487.92 and 5,718.45 is: 7,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,498.47 : 14,487.92 = 5,718.45 : x
  2. Step 2: Convert to fraction form
    10,498.47/14,487.92 = 5,718.45/x
  3. Step 3: Cross multiply
    10,498.47x = 14,487.92 × 5,718.45
  4. Step 4: Simplify right side
    10,498.47x = 82,848,446.12
  5. Step 5: Solve for x
    x = 82,848,446.12/10,498.47
  6. Step 6: Final answer
    x = 7,891.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.